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Finding the Third Proportional to 84,850 and 128,348

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Solution

The third proportional to 84,850 and 128,348 is: 194,145.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,850 : 128,348 = 128,348 : x
  2. Step 2: Convert to fraction form
    84,850/128,348 = 128,348/x
  3. Step 3: Cross multiply
    84,850x = 128,348 × 128,348
  4. Step 4: Simplify right side
    84,850x = 16,473,209,104
  5. Step 5: Solve for x
    x = 16,473,209,104/84,850
  6. Step 6: Final answer
    x = 194,145.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.